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COMBINATORICS
2007
55views more  COMBINATORICS 2007»
13 years 4 months ago
Clusters in a Multigraph with Elevated Density
In this paper, we prove that in a multigraph whose density Γ exceeds the maximum vertex degree ∆, the collection of minimal clusters (maximally dense sets of vertices) is cycle...
Mark K. Goldberg
CCCG
2001
13 years 6 months ago
Tight degree bounds for pseudo-triangulations of points
We show that every set of n points in general position has a minimum pseudo-triangulation whose maximum vertex degree is five. In addition, we demonstrate that every point set in ...
Lutz Kettner, David G. Kirkpatrick, Bettina Speckm...
PATMOS
2004
Springer
13 years 10 months ago
An Efficient Low-Degree RMST Algorithm for VLSI/ULSI Physical Design
Motivated by very/ultra large scale integrated circuit (VLSI/ULSI) physical design applications, we study the construction of rectilinear minimum spanning tree (RMST) with its maxi...
Yin Wang, Xianlong Hong, Tong Jing, Yang Yang, Xia...
WAOA
2005
Springer
142views Algorithms» more  WAOA 2005»
13 years 10 months ago
On the Minimum Load Coloring Problem
Given a graph G = (V, E) with n vertices, m edges and maximum vertex degree ∆, the load distribution of a coloring ϕ : V → {red, blue} is a pair dϕ = (rϕ, bϕ), where rϕ i...
Nitin Ahuja, Andreas Baltz, Benjamin Doerr, Ales P...